Step-by-step explanation:
This is what the triangle should look like, when you draw it.
As its a right-angle triangle, trigonometry was used.
Let theta represent the angle of cosine C
Answer:
Large box weighs 18.25 kilograms
Small box weighs 15.25 kilograms
Step-by-step explanation:
A fruit company delivers its fruit in two types of boxes: large and small.
Let x = weight of large box.
Let y = weight of small box.
A delivery of 3 large boxes and 5 small boxes has a total weight of 131 kilograms. This means
3x + 5y = 131 - - - - - - - - - - -1
A delivery of 6 large boxes and 2 small boxes has a total weight of 140 kilograms.
This means 6x + 2y = 140 - - - - - - - 2
Solving equation 1 and equation 2 by elimination method,
Multiply equation 1 by 6 and equation 2 by 3
18x + 30y = 786
18x +6y = 420
24y = 366
y = 366/24 = 15.25
Put y = 15.25 in equation 1
3x + 5× 15.25 = 131
3x + 76.25 = 131
3x = 131 - 76.25
3x = 54.75
x = 54.75/3 = 18.25
8.8, you have to find the distance between each dash and see if the two number lines on #11 match.
First, find the x-intercept.
The x-intercept will be at the point (x, 0) where x is any real number. If we substitute the x-coordinate and the y-coordinate for the x and y variables in the equation, we can solve for x.
5y + 3x = 15
5(0) + 3x = 15
3x + 15
x = 5
We found the x-intercept now find the y-intercept with the same process.
The y-intercept will be at the point (0, y) where y is any real number.
5y + 3x = 15
5y + 3(0) = 15
5y = 15
y = 3
So, the x-intercept is (5, 0) and the y-intercept is (0, 3)
First find X by subtracting 9.8 from 14.7
X should equal 4.9
than fill in the equation for x
8(4.9-3.7)
you then subtract in the parenthasis
getting the answer of 1.2
finally multiply 1.2x8
Your final answer is 9.6